Functional Dependence between the Hamiltonian and the Modular Operator Associated with a Faithful Invariant State of a -Dynamical System
J. de Cannière
University of California, Berkeley, USA
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Abstract
Let and be the hamiltonian, resp. the modular operator associated with an invariant faithful normal state of a -dynamical system . Then for some decreasing function if and only if (roughly speaking) is 2-passive with respect to . It follows that under certain conditions a 3-passive state is an equilibrium (i.e. KMS) state.
Cite this article
J. de Cannière, Functional Dependence between the Hamiltonian and the Modular Operator Associated with a Faithful Invariant State of a -Dynamical System. Publ. Res. Inst. Math. Sci. 20 (1984), no. 1, pp. 79–96
DOI 10.2977/PRIMS/1195181829